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The Schiffer Problem as originally stated for Euclidean spaces (and later for some symmetric spaces) is the following: Given a bounded connected open set Ω with a regular boundary and such that the complement of its closure is connected, does the existence of a solution to the Overdetermined Neumann Problem (N) imply that Ω is a ball? The same question for the Overdetermined Dirichlet Problem (D). We consider the generalization of the Schiffer problem to an arbitrary Riemannian manifold and also...

Schouten tensor equations in conformal geometry with prescribed boundary metric.

Schnürer, Oliver C. (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Sechseckgewebe auf Flachen Positiver oder Negativer Krummung

Georg Stamou (1979)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

Second order differential invariants of linear frames.

Brajerčík, Ján (2010)

Balkan Journal of Geometry and its Applications (BJGA)

Selfdual spaces with complex structures, Einstein-Weyl geometry and geodesics

David M J. Calderbank, Henrik Pedersen (2000)

Annales de l'institut Fourier

We study the Jones and Tod correspondence between selfdual conformal $4$ -manifolds with a conformal vector field and abelian monopoles on Einstein-Weyl $3$ -manifolds, and prove that invariant complex structures correspond to shear-free geodesic congruences. Such congruences exist in abundance and so provide a tool for constructing interesting selfdual geometries with symmetry, unifying the theories of scalar-flat Kähler metrics and hypercomplex structures with symmetry. We also show that in the presence...

Self-intersection Points in classical area-minimizing surfaces.

Claire C. Chan (1995)

Manuscripta mathematica

Self-parallel curves.

F.J.C. de Carvalho, S.A. Robertson (1989)

Mathematica Scandinavica

Semicanonical moving frame of the hypersurface in a unimodular 4-dimensional affine space

Libuše Marková (1971)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica

Semi-riemannian Manifolds Whose Weyl Tensor is a Kulkarni--nomizu Square

Malgorzata Glogowska (2002)

Publications de l'Institut Mathématique

Semi-Riemannian manifolds whose Weyl tensor is a Kulkarni-Nomizu square.

Głogowska, Małgorzata (2002)

Publications de l'Institut Mathématique. Nouvelle Série

Several new characterizations of the 2-dimensional sphere in $E^{4}$

Karel Svoboda (1979)

Czechoslovak Mathematical Journal

Sharp eigenvalue estimates of closed $H$ -hypersurfaces in locally symmetric spaces

Eudes L. de Lima, Henrique F. de Lima, Fábio R. dos Santos, Marco A. L. Velásquez (2019)

Czechoslovak Mathematical Journal

The purpose of this article is to obtain sharp estimates for the first eigenvalue of the stability operator of constant mean curvature closed hypersurfaces immersed into locally symmetric Riemannian spaces satisfying suitable curvature conditions (which includes, in particular, a Riemannian space with constant sectional curvature). As an application, we derive a nonexistence result concerning strongly stable hypersurfaces in these ambient spaces.

Sich schliessende p-Ecke aus Evoluten.

Hubert Frank (1977)

Elemente der Mathematik

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